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Finding the Third Proportional to 151,845.75 and 332,293.50

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Solution

The third proportional to 151,845.75 and 332,293.50 is: 727,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,845.75 : 332,293.50 = 332,293.50 : x
  2. Step 2: Convert to fraction form
    151,845.75/332,293.50 = 332,293.50/x
  3. Step 3: Cross multiply
    151,845.75x = 332,293.50 × 332,293.50
  4. Step 4: Simplify right side
    151,845.75x = 110,418,970,142.25
  5. Step 5: Solve for x
    x = 110,418,970,142.25/151,845.75
  6. Step 6: Final answer
    x = 727,178.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.